Least Common Multiple of 64/636, 188/392, 308/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/636, 188/392, 308/928 quickly i.e. 57904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/636, 188/392, 308/928 is 57904.

LCM(64/636, 188/392, 308/928) = 57904

LCM of 64/636, 188/392, 308/928

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 64/636,188/392,308/928

Given numbers are 64/636,188/392,308/928

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 64,188,308

Least Common Multiple of Numerators i.e. LCM of 64,188,308 is 231616.

GCF of Denominators means GCF of 636,392,928 as per the given fractions.

GCF of 636,392,928 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,188,308

LCM of Fractions 64/636,188/392,308/928 is 57904

2 64, 188, 308
2 32, 94, 154
16, 47, 77

∴ So the LCM of the given numbers is 2 x 2 x 16 x 47 x 77 = 231616

Least Common Multiple of 64,188,308 with GCF Formula

Least Common Multiple of 64,188,308 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 64,188,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,188,308) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(64,188,308) x common factors =4 x 4 = 16

LCM(64,188,308) = ( 64 × 188 × 308 ) / 16

LCM(64,188,308) = 3705856 / 16

LCM(64,188,308) = 231616


Lets's calculate GCF of 636,392,928

2 636, 392, 928
2 318, 196, 464
159, 98, 232

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231616/4

Therefore the LCM of Fractions 64/636,188/392,308/928 is 57904

Greatest Common Factor of 636,392,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,392,928 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 636,392,928 . The biggest common factor number is the GCF number.
So the greatest common factor 636,392,928 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 64/636, 188/392, 308/928

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 64/636, 188/392, 308/928?

Answer: LCM of Numerators as per given numbers 64/636, 188/392, 308/928 is

LCM of Numerators i.e. for 64,188,308 is 231616

GCF of denominators i.e. for 636,392,928 is 4.

Thus, LCM of Fractions is 57904.Finally, LCM of Fractions for 64/636, 188/392, 308/928 is 57904.